Turbulent radial thermal counterflow in the framework of the HVBK model
Abstract
We apply the coarsegrained HallVinenBekarevichKhalatnikov (HVBK) equations to model the statistically steadystate, turbulent, cylindrically symmetric radial counterflow generated by a moderately large heat flux from the surface of a cylinder immersed in superfluid ^{4}He. We show that a timeindependent solution exists only if a spatial nonuniformity of temperature and the dependence on temperature of the thermodynamic properties are accounted for. We demonstrate the formation of a thermal boundary layer whose thickness grows with temperature of the cylinder's surface, and analyze the properties of the flow in the radial direction, including the local average vortex line density.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 October 2019
 DOI:
 10.1209/02955075/128/26001
 arXiv:
 arXiv:1907.06252
 Bibcode:
 2019EL....12826001S
 Keywords:

 67.25.dk;
 67.25.dm;
 47.37.+q;
 Condensed Matter  Other Condensed Matter;
 Physics  Fluid Dynamics
 EPrint:
 7 pages, 6 figures